This is the last in a series of three articles studying some quadratic algebras related to quantized matrix algebras. Here we determine the full set of so\|called cyclic representations of the quantized matrix algebra...This is the last in a series of three articles studying some quadratic algebras related to quantized matrix algebras. Here we determine the full set of so\|called cyclic representations of the quantized matrix algebra M\-q(3). These are irreducible representations in which all generators are invertible and the assumption on q is that it is a primitive m\|th root of 1, with m≥3.展开更多
基金Supported by the National Natural Science Foundationof China(No.194 0 10 2 1)
文摘This is the last in a series of three articles studying some quadratic algebras related to quantized matrix algebras. Here we determine the full set of so\|called cyclic representations of the quantized matrix algebra M\-q(3). These are irreducible representations in which all generators are invertible and the assumption on q is that it is a primitive m\|th root of 1, with m≥3.